Undamental Polynomials of Hermite’sinterpolation Formula in Linear Normal and Ineuclidean Spaces

Abstract

In a linear infinite-dimensional space with a scalar product and in a finite-dimensional Euclidean space the interpolation Hermite polynomial with a minimal norm, generated by a Gaussian measure, contains fundamental polynomials are shown. The accuracy of Hermit’s interpolation formulas on polynomials of the appropriate degree are researched.